Is 822 a prime number? What are the divisors of 822?

## Parity of 822

822 is an even number, because it is evenly divisible by 2: 822 / 2 = 411.

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## Is 822 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 822 is about 28.671.

Thus, the square root of 822 is not an integer, and therefore 822 is not a square number.

## What is the square number of 822?

The square of a number (here 822) is the result of the product of this number (822) by itself (i.e., 822 × 822); the square of 822 is sometimes called "raising 822 to the power 2", or "822 squared".

The square of 822 is 675 684 because 822 × 822 = 8222 = 675 684.

As a consequence, 822 is the square root of 675 684.

## Number of digits of 822

822 is a number with 3 digits.

## What are the multiples of 822?

The multiples of 822 are all integers evenly divisible by 822, that is all numbers such that the remainder of the division by 822 is zero. There are infinitely many multiples of 822. The smallest multiples of 822 are:

## How to determine whether an integer is a prime number?

To determine the primality of a number, several algorithms can be used. The most naive technique is to test all divisors strictly smaller to the number of which we want to determine the primality (here 822). First, we can eliminate all even numbers greater than 2 (and hence 4, 6, 8…). Then, we can stop this check when we reach the square root of the number of which we want to determine the primality (here the square root is about 28.671). Historically, the sieve of Eratosthenes (dating from the Greek mathematics) implements this technique in a relatively efficient manner.

More modern techniques include the sieve of Atkin, probabilistic algorithms, and the cyclotomic AKS test.

## Numbers near 822

• Preceding numbers: …820, 821
• Following numbers: 823, 824

### Nearest numbers from 822

• Preceding prime number: 821
• Following prime number: 823
Find out whether some integer is a prime number